I also came across this, my slot 2 works for PS2 but slot 1 not. Which then lead me to opening the PS2 and i carefully looked at memory slots and managed to notice that the pins which connect to memory card were not fully in contact with it. I simply took console apart and took the metal cover off or even carefully bent it then used a needle to release or unbend the pins which were not popped up properly. After that put in memory card in the slot to ensure that pins are in contact with memory card which then assemble back the PS2, switch it and success the slot one detected and I am able to play I hope this is helpful. If need something to know just ask.